Areas Under the Standard Normal Curve

Front

What is the standard normal distribution?

Back

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

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CCSS.HSS.ID.A.4

Front

What does the Z-score represent in a normal distribution?

Back

The Z-score represents the number of standard deviations a data point is from the mean.

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CCSS.HSS.ID.A.4

Front

What is the area under the normal curve to the left of Z = -2.37?

Back

0.0089

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CCSS.HSS.ID.A.4

Front

What is the area under the standard normal curve to the right of Z = -2.67?

Back

0.9962

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CCSS.HSS.ID.A.4

Front

What is the area under the normal distribution curve between Z = -1.53 and Z = 0?

Back

0.437

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CCSS.HSS.ID.A.4

Front

What percentage of data falls within one standard deviation of the mean in a normal distribution?

Back

68% of the data falls within one standard deviation of the mean.

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CCSS.HSS.ID.A.4

Front

What percentage of data falls within two standard deviations of the mean in a normal distribution?

Back

95% of the data falls within two standard deviations of the mean.

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CCSS.HSS.ID.A.4

Front

What percentage of data falls within three standard deviations of the mean in a normal distribution?

Back

99.7% of the data falls within three standard deviations of the mean.

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CCSS.HSS.ID.A.4

Front

How do you find the area under the curve for a given Z-score?

Back

You can use Z-tables or statistical software to find the area corresponding to a given Z-score.

Tags

CCSS.HSS.ID.A.4

Front

What is the significance of the area under the normal curve?

Back

The area under the normal curve represents probabilities and proportions of data within certain ranges.

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CCSS.HSS.ID.A.4